10112120102112 has 192 divisors, whose sum is σ = 31659516693504. Its totient is φ = 2763195494400.

The previous prime is 10112120102099. The next prime is 10112120102113. The reversal of 10112120102112 is 21120102121101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10112120102091 and 10112120102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112120102113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129435862 + ... + 129513962.

It is an arithmetic number, because the mean of its divisors is an integer number (164893316112).

Almost surely, 2^{10112120102112} is an apocalyptic number.

10112120102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112120102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829758346752).

10112120102112 is an abundant number, since it is smaller than the sum of its proper divisors (21547396591392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10112120102112 is a wasteful number, since it uses less digits than its factorization.

10112120102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86521 (or 86513 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10112120102112 its reverse (21120102121101), we get a palindrome (31232222223213).

The spelling of 10112120102112 in words is "ten trillion, one hundred twelve billion, one hundred twenty million, one hundred two thousand, one hundred twelve".